100212221002120 has 16 divisors (see below), whose sum is σ = 225477497254860. Its totient is φ = 40084888400832.

The previous prime is 100212221002043. The next prime is 100212221002181. The reversal of 100212221002120 is 21200122212001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99846019320804 + 366201681316 = 9992298^2 + 605146^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100212221002094 and 100212221002103.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1252652762487 + ... + 1252652762566.

Almost surely, 2^{100212221002120} is an apocalyptic number.

100212221002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212221002120 is an abundant number, since it is smaller than the sum of its proper divisors (125265276252740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100212221002120 is a wasteful number, since it uses less digits than its factorization.

100212221002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505305525064 (or 2505305525060 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100212221002120 its reverse (21200122212001), we get a palindrome (121412343214121).

The spelling of 100212221002120 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, two thousand, one hundred twenty".